1088790243840 has 480 divisors, whose sum is σ = 4066833987216. Its totient is φ = 267614945280.

The previous prime is 1088790243797. The next prime is 1088790243857. The reversal of 1088790243840 is 483420978801.

It is a happy number.

1088790243840 is a `hidden beast` number, since 1 + 0 + 8 + 87 + 90 + 2 + 438 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 187080470784 + 901709773056 = 432528^2 + 949584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238715160 + ... + 238719720.

Almost surely, 2^{1088790243840} is an apocalyptic number.

1088790243840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1088790243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033416993608).

1088790243840 is an abundant number, since it is smaller than the sum of its proper divisors (2978043743376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1088790243840 is a wasteful number, since it uses less digits than its factorization.

1088790243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1088790243840 in words is "one trillion, eighty-eight billion, seven hundred ninety million, two hundred forty-three thousand, eight hundred forty".